Landscape

Select a theory SU(2): 4 fund + 4 anti-fund (not completed) SU(2): 1 Adj + 1 fund + 1 anti-fund SU(2): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(2): 1 Adj + 3 fund + 3 anti-fund (not completed) SU(2): 2 Adj SU(2): 2 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(5): 2 rank-2 symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm + 1 fund + 1 anti-fund SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + (conj.) (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(6): 2 rank-2 symm + (conj.) SU(6): 2 rank-2 symm + 1 fund + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(7): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 8 fund (not completed) SU(7): 2 rank-2 symm + 1 fund + (conj.) (not completed) SU(8): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 9 fund + 1 anti-fund (not completed) SU(9): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 16 anti-fund (not completed) SU(9): 2 rank-2 symm + (conj.) (not completed) SU(9): 2 rank-2 symm + 1 fund (conj.) (not completed) SU(10): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 1 fund + 17 anti-fund (not completed) SO(5): 5 vector (not completed) SO(5): 1 Adj + 1 vector SO(5): 1 Adj + 2 vector SO(5): 1 rank-2 symm SO(5): 1 rank-2 symm + 1 vector SO(5): 1 rank-2 symm + 2 vector Sp(2): 1 Adj + 2 fund Sp(2): 1 14 + 2 fund Sp(2): 2 Adj Sp(2): 1 Adj + 2 rank-2 anti-symm + 8 fund (not completed) G2: 1 Adj + 1 fund E[USp(6)] (not completed) All theories Data used in arXiv:2408.02953

$a$ =

$c$ =

$\leq a \leq$

$\leq c \leq$

id =

Check if you want only theories with rational charges.

Chosen Fixed Point

Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.

#	Theory	Superpotential	Central charge $a$	Central charge $c$	Ratio $a/c$	Matter field: $R$-charge	U(1) part of $F_{UV}$	Rank of $F_{UV}$	Rational
5414	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$ + ${ }M_{8}X_{1}$	0.5954	0.7414	0.8031	[X:[1.3288], M:[0.6712, 1.1096, 0.8173, 1.0365, 0.9635, 1.1827, 1.1096, 0.6712], q:[0.7774, 0.5514], qb:[0.6313, 0.2591], phi:[0.4452]]	[X:[[36]], M:[[-36], [12], [-20], [4], [-4], [20], [12], [-36]], q:[[3], [33]], qb:[[-13], [1]], phi:[[-6]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{8}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{5}$, ${ }M_{4}$, ${ }M_{2}$, ${ }M_{7}$, ${ }M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{8}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{8}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}M_{8}$, ${ }M_{4}M_{8}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{6}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$	${}$	-2	t^2.014 + t^2.432 + t^2.89 + t^3.11 + 2*t^3.329 + t^3.548 + t^3.767 + t^4.007 + t^4.027 + t^4.226 + t^4.445 + t^4.644 + t^4.863 + t^4.904 + t^5.123 + t^5.322 + 2*t^5.342 + t^5.541 + t^5.562 + t^5.76 + t^5.781 + t^5.979 - 2*t^6. + t^6.021 + t^6.041 + t^6.199 + t^6.219 + 2*t^6.438 + 5*t^6.658 - t^6.678 + 2*t^6.877 + t^6.918 + t^7.075 + t^7.096 + t^7.137 + t^7.295 + t^7.336 + 2*t^7.356 + t^7.534 + 2*t^7.555 + t^7.753 + t^7.774 + t^7.794 + 2*t^7.973 - 2*t^8.014 + t^8.034 + t^8.055 + 2*t^8.192 + t^8.233 + 2*t^8.411 - 2*t^8.432 + 2*t^8.452 + t^8.63 + 4*t^8.671 + 2*t^8.87 - 2*t^8.89 + t^8.931 - t^4.336/y - t^6.349/y + t^7.007/y + t^7.445/y - t^7.664/y + t^7.904/y + t^8.123/y + (2*t^8.322)/y + (2*t^8.342)/y - t^8.363/y + t^8.541/y + t^8.562/y + (2*t^8.76)/y + t^8.781/y + t^8.979/y - t^4.336*y - t^6.349*y + t^7.007*y + t^7.445*y - t^7.664*y + t^7.904*y + t^8.123*y + 2*t^8.322*y + 2*t^8.342*y - t^8.363*y + t^8.541*y + t^8.562*y + 2*t^8.76*y + t^8.781*y + t^8.979*y	t^2.014/g1^36 + g1^34*t^2.432 + t^2.89/g1^4 + g1^4*t^3.11 + 2*g1^12*t^3.329 + g1^20*t^3.548 + g1^28*t^3.767 + t^4.007/g1^18 + t^4.027/g1^72 + t^4.226/g1^10 + t^4.445/g1^2 + g1^60*t^4.644 + g1^68*t^4.863 + t^4.904/g1^40 + t^5.123/g1^32 + g1^30*t^5.322 + (2*t^5.342)/g1^24 + g1^38*t^5.541 + t^5.562/g1^16 + g1^46*t^5.76 + t^5.781/g1^8 + g1^54*t^5.979 - 2*t^6. + t^6.021/g1^54 + t^6.041/g1^108 + g1^62*t^6.199 + g1^8*t^6.219 + 2*g1^16*t^6.438 + 5*g1^24*t^6.658 - t^6.678/g1^30 + 2*g1^32*t^6.877 + t^6.918/g1^76 + g1^94*t^7.075 + g1^40*t^7.096 + t^7.137/g1^68 + g1^102*t^7.295 + t^7.336/g1^6 + (2*t^7.356)/g1^60 + g1^56*t^7.534 + 2*g1^2*t^7.555 + g1^64*t^7.753 + g1^10*t^7.774 + t^7.794/g1^44 + 2*g1^72*t^7.973 - (2*t^8.014)/g1^36 + t^8.034/g1^90 + t^8.055/g1^144 + 2*g1^80*t^8.192 + t^8.233/g1^28 + 2*g1^88*t^8.411 - 2*g1^34*t^8.432 + (2*t^8.452)/g1^20 + g1^96*t^8.63 + (4*t^8.671)/g1^12 + 2*g1^50*t^8.87 - (2*t^8.89)/g1^4 + t^8.931/g1^112 - t^4.336/(g1^6*y) - t^6.349/(g1^42*y) + t^7.007/(g1^18*y) + t^7.445/(g1^2*y) - (g1^6*t^7.664)/y + t^7.904/(g1^40*y) + t^8.123/(g1^32*y) + (2*g1^30*t^8.322)/y + (2*t^8.342)/(g1^24*y) - t^8.363/(g1^78*y) + (g1^38*t^8.541)/y + t^8.562/(g1^16*y) + (2*g1^46*t^8.76)/y + t^8.781/(g1^8*y) + (g1^54*t^8.979)/y - (t^4.336*y)/g1^6 - (t^6.349*y)/g1^42 + (t^7.007*y)/g1^18 + (t^7.445*y)/g1^2 - g1^6*t^7.664*y + (t^7.904*y)/g1^40 + (t^8.123*y)/g1^32 + 2*g1^30*t^8.322*y + (2*t^8.342*y)/g1^24 - (t^8.363*y)/g1^78 + g1^38*t^8.541*y + (t^8.562*y)/g1^16 + 2*g1^46*t^8.76*y + (t^8.781*y)/g1^8 + g1^54*t^8.979*y

Deformation

Here is the data for the deformed fixed points from the chosen fixed point.

#	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	Superconformal Index	More Info.	Rational
6905	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$ + ${ }M_{8}X_{1}$ + ${ }M_{5}M_{9}$	0.5921	0.7359	0.8045	[X:[1.3237], M:[0.6763, 1.1079, 0.8202, 1.036, 0.964, 1.1798, 1.1079, 0.6763, 1.036], q:[0.777, 0.5467], qb:[0.6331, 0.259], phi:[0.446]]	t^2.029 + t^2.417 + 2*t^3.108 + 2*t^3.324 + t^3.54 + t^3.755 + t^4.014 + t^4.058 + t^4.23 + t^4.446 + t^4.619 + t^4.834 + 2*t^5.137 + 2*t^5.353 + 2*t^5.525 + t^5.568 + t^5.741 + t^5.957 - 3*t^6. - t^4.338/y - t^4.338*y	detail

Equivalent Fixed Points from Other Seed Theories

Here is a list of equivalent fixed points from other gauge theories.

#	Theory	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	Superconformal Index	More Info.	Rational

Equivalent Fixed Points from the Same Seed Theory

Below is a list of equivalent fixed points from the same seed theories.

id	Theory	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	More Info.	Rational

Previous Theory

The previous fixed point before deforming to get the chosen fixed point.

#	Theory	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	Superconformal Index	More Info.	Rational
3805	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$	0.5746	0.7002	0.8206	[X:[1.3271], M:[0.6729, 1.109, 0.8183, 1.0363, 0.9637, 1.1817, 1.109], q:[0.7773, 0.5498], qb:[0.6319, 0.2591], phi:[0.4455]]	t^2.427 + t^2.891 + t^3.109 + 2*t^3.327 + t^3.545 + t^3.763 + t^3.981 + t^4.009 + t^4.227 + t^4.635 + t^4.853 + t^5.318 + t^5.536 + t^5.754 + t^5.972 - 2*t^6. - t^4.336/y - t^4.336*y	detail